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Finding the Fourth Proportional to 275,251.60, 412,889.40 and 75,566.80

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Solution

The fourth proportional to 275,251.60, 412,889.40 and 75,566.80 is: 113,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,251.60 : 412,889.40 = 75,566.80 : x
  2. Step 2: Convert to fraction form
    275,251.60/412,889.40 = 75,566.80/x
  3. Step 3: Cross multiply
    275,251.60x = 412,889.40 × 75,566.80
  4. Step 4: Simplify right side
    275,251.60x = 31,200,730,711.92
  5. Step 5: Solve for x
    x = 31,200,730,711.92/275,251.60
  6. Step 6: Final answer
    x = 113,353.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.